Stokes phenomenon, Gelfand-Zeitlin systems and quantum groups
Speaker:
Xiaomeng Xu (MIT)
Date and Time:
Thursday, March 30, 2017 - 11:10am to 12:00pm
Location:
Fields Institute, Stewart Library
Abstract:
We first relate the Stokes matrices of certain meromorphic connections to Gelfand-Zeitlin systems.
We then discuss the quantization of the Stokes matrices and isomonodromy deformation equations. In particular, we show that the (quantum) Stokes factors of a Knizhnik-Zamolodchikov type equation satisfy Yang-Baxter equation. This part is joint with V. Toledano Laredo. We then discuss some related questions.